Phase structure and graviton propagators in lattice formulations of four-dimensional quantum gravity
Jürgen Riedler; Wolfgang Beirl; Elmar Bittner; Alf Hauke; Peter Homolka; Harald Markum; Jürgen Riedler; Institut für Kernphysik, Technische Universität Wien, A-1040 Vienna, Austria; Wolfgang Beirl; Institut für Kernphysik, Technische Universität Wien, A-1040 Vienna, Austria; Elmar Bittner; Institut für Kernphysik, Technische Universität Wien, A-1040 Vienna, Austria; Alf Hauke; Institut für Kernphysik, Technische Universität Wien, A-1040 Vienna, Austria; Peter Homolka; Institut für Kernphysik, Technische Universität Wien, A-1040 Vienna, Austria; Harald Markum; Institut für Kernphysik, Technische Universität Wien, A-1040 Vienna, Austria
Журнал:
Classical and Quantum Gravity
Дата:
1999-04-01
Аннотация:
We examine the phase structure of standard Regge calculus in four dimensions and compare our Monte Carlo results with those of the -Regge model as well as with another formulation of lattice gravity derived from group-theoretical considerations. Within all of the three models of quantum gravity we find an extension of the well-defined phase to negative gravitational couplings and a new phase transition. In contrast to the well known transition at positive coupling there is evidence for a continuous phase transition which is essential for a continuum limit. We calculate two-point functions between geometrical quantities at the corresponding critical point and estimate the masses of the respective interaction particles.
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